42. Independent random samples are selected fromtwo populations. Below are selected summarystatistics.Рop.Mean Stand. Dev. Sample size162.0010.001754.006.0010(a) Construct the 95% confidence interval forµx - HY.(b) Obtain the P-value for the alternativeµx # µy. Show your work. You will re-ceive no credit for simply reporting youranswer.43. Independent random samples are selected fromtwo populations. Below are selected summarystatistics.Pop. Mean Stand. Dev. Sample size173.0010.0014262.506.008(a) Construct the 95% confidence interval forHx – Hy.(b) Obtain the P-value for the alternativeµx + µY.44. A regression analysis yields the lineŷ = 32 + 0.4x.One of the subjects, Racheal, has x = 60 andy = 52.(a) Calculate Racheal's predicted value, ŷ.(b) Calculate Racheal's residual.45. A regression analysis yields the lineŷ = 18 + 0.25x.One of the subjects, Mary, has x = 40 and y32.(a) Calculate Mary's predicted value, ĝŷ.(b) Calculate Mary's residual.

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Answered: 42. Independent random samples are…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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In attempting to improve student services, a college investigates its registration processand finds that for 12 randomly selected students, the mean registrationi timewas 73.2 minutes with a standard deviation of 14.2 minutes. Another collegei findsthat for 15 randomly selected students, the mean registration time was 42.3 minutes with a standard deviation of 9.8 minutes. At the 0.01 significance level, test the claim that the two samples came from populations with the same means. Assumeequal population variances.
A popular weight loss program claims that with its recommended healthy diet regimen, users lose significant weight within a month. In order to estimate the mean weight loss of all customers, a nutritionist takes a sample of 18 dieters and records their weight loss one month after joining the program. He computes the sample mean of weight loss as 12.5 pounds and the sample standard deviation of weight loss as 9.2 pounds. Compute the 90% confidence interval for the population mean. (Round to two decimal places.)
Suppose that 5000 students who have taken the SAT exam once are randomly assigned to either take an SAT coaching course or not, with the following results in their improvements in SAT scores when they take the exam a second time: Coaching Group Control Group Sample Sample Size Sample Mean Standard Deviation 2500 2500 46.2 44.4 12.3 5.5 Create and interpret a 90% confidence interval for the parameter of interest.
1) An electronic manufacturer produces lampshades with a life span of approximately normally distributed with a standard deviation of 35 hours. a) If a sample of 50 bulbs has an average life span of 835 hours, construct a 95% confidence interval for the average life span of all the lampshades produced. Interpret the result. b) What must be the sample size if the manufacturer wishes to be 99% confident that the estimate is within 10 hours of the correct mean? Interpret the result.
The distribution of claim size under a certain class of policy is modelled as a normal random variable, and previous years records indicate that the standard deviation is £120. Calculate the width of a 95% confidence interval for the mean claim size if sample of size 100 is available. Determine the minimum sample size required to ensure that a 95% confidence interval for the mean claim size is of width at most £10. Comment briefly on the comparison of the confidence intervals in (i) and (ii) with respect to widths and sample sizes used.
The National Association of Home Builders provided data on the cost of the most popular home remodeling projects. Sample data on cost in thousands of dollars for two types of remodeling projects are as follows. a) Develop a point estimate of the difference between the population mean remodeling costs for the two types of projects.b) Develop a 90% confidence interval for the difference between the two population means.

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